We stress that, although the SGWB from PBH binaries has been studied in many papers (see e.g. Refs. [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}), this is the first case where it is computed by taking into account the effects of the thermal history of the Universe on the PBHs mass function.
